Term related to Differential Equation

Order of Differential equation: The highest order derivative present in any differential equation, determines the order of the differential equation.

Degree of Differential equation: If the differential equations are simplified so that the differential coefficients present in it are not in the irrational form, then the power of the highest order derivatives determines the degree of the differential equation.

General Solution: The solution which contains a number of arbitrary constants equal to the order of the equation is called the general solution or complete integral of the differential equation.

Particular Solution: Solution obtained from the general solution by given particular values to the constants are called particular solution.

Previous Year’s Questions

Prove that is the general solution of the differential equation , where C is a parameter. [Delhi 2017]

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